Question

Statement I:In the relation $f=\frac{1}{2l}\sqrt{\frac{T}{m},}$ where symbols have standard meaning, $m$ represent linear mass density
Statement II: frequency has the dimensions of inverse of time.

• A. If both statement I and statement II are true and statement II is the correct explanation of statement I.
• B. If both statement I and statement II are true but statement II is not the correct explanation of statement I.
• C. If statement I is true but statement II is false.
• D. If both statement I and statement II are false

Answer 1

Answer: (B)

From, $f=\frac{1}{2l}\sqrt{\frac{T}{m},}f^{2}=\frac{T}{4l^{2}m}$
or $m=\frac{T}{4l^{2}f^{2}}=\frac{\left[MLT^{-2}\right]}{L^{2}T^{-2}}$
$=\frac{M}{L}=\frac{\text{Mass}}{\text{Length}}=$ linear mass density